Global phase portraits of a family of quadratic systems with a singular cubic curve. [ Back ]

Date:
16.04.18   
Times:
15:30
Place:
UAB - Dept. Matemàtiques (C1/-128)
Speaker:
Chara Pantazi
University:
Universitat Politècnica de Catalunya

Abstract:

The classification of quadratic systems having a non-singular cubic curve has been done in "J. Llibre, J.S. Pérez del Río and J.A. Rodríguez, Phase portraits of a new class of integrable quadratic vector fields, Dynamics of Continuous, Discrete and Impulsive systems, 7, (2000), 595-616."
In this seminar we present the classification of quadratic systems having a singular and irreducible curve in three families. In the talk we are going to present the global phase portraits in the Poincare disk of one of these families.
This is a joint work (still in progress) with prof. J. Llibre.